What is the 3191st prime number?
The 3191st prime number is 29383. The next prime is 29387 (a gap of 4) and the one before is 29363.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3191st one is 29383.
- 2
29383 is prime because no prime up to ā29383 ā 171.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3191st prime is close to 3191 Ć ln(3191) ā 25745, and here it is 29383.
- 4
29383 has no twin: neither 29381 nor 29385 is prime.
Primes around the 3191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3188 | 29339 | 6 |
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
| 3192 | 29387 | 4 |
| 3193 | 29389 | 2 |
| 3194 | 29399 | 10 |
Questions
What is the 3191st prime number?
29383.
Which prime number is 29383?
29383 is the 3191st prime number.
What is the sum of the first 3191 primes?
44,073,572.